Published Paper

Inserted: 24 nov 2011
Last Updated: 10 feb 2015

Journal: Calc. Var. PDE
Year: 2013

Abstract:

Motivated by some questions arising in the study of quasistatic growth in brittle fracture, we investigate the asymptotic behavior of the energy of the solution u of a Neumann problem near a crack in dimension 2. We consider non smooth cracks K that are merely closed and connected. At any point of density 12 in K , we show that the blow-up limit of u is the usual "cracktip" function, with a well-defined coefficient (the "stress intensity factor" or SIF). The method relies on Bonnet's monotonicity formula together with Γ-convergence techniques.

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